Abox contains both cubes and five-sided pyramids. the total number of objects in the box is 17. the total number of sides for the cubes and pyramids is 95. how many cubes are in the box?

Answer with Step-by-step explanation:

We know that number of sides in cube=6

and number of sides in pyramid=5

Let there be c cubes and p pyramids.

The total number of objects in the box is 17.

⇒ c+p=17

⇒ p=17-c

The total number of sides for the cubes and pyramids is 95.

⇒ 6c+5p=95

⇒ 6c+5(17-c)=95

⇒ 6c+5×17-5c=95

⇒ c+85=95

⇒ c=95-85

⇒ c=10

Hence, number of cubes in box are:

10

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